GATE AG 2013 • Q64 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If |−2X+9|=3 then the possible value of |−X|−X² would be:

Options:

  • (A) 30
  • (B) -30
  • (C) -42
  • (D) 42

Official Answer Key:

B

Step-by-Step Solution & Explanation

|−2X+9|=3 gives two cases: −2X+9=3 ⇒ X=3, or −2X+9=−3 ⇒ X=6. For X=3: |−X|−X² = 3−9 = −6 (not among the options). For X=6: |−X|−X² = 6−36 = −30, matching option (B). Answer: (B) −30.

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